Solutions to Differential-Differential Difference Equations with Variable Coefficients by Using Fourier Transform Method
Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi, cilt.18, sa.3, ss.259-267, 2023 (TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 18 Sayı: 3
- Basım Tarihi: 2023
- Doi Numarası: 10.29233/sdufeffd.1318890
- Dergi Adı: Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi
- Derginin Tarandığı İndeksler: Academic Search Premier, CAB Abstracts, Veterinary Science Database, zbMATH, Directory of Open Access Journals, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.259-267
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
In this paper, differential-differential difference equations with variable coefficients have been solved using the Fourier Transform Method (FTM). In addition, new definitions and theorems are introduced. Besides, the efficiency of the proposed method is verified by solving five important examples. Furthermore, we have noted that the Fourier transform method is a powerful technique for solving ordinary differential difference equations (ODDEs) with variable coefficients. It involves transforming the ODDEs into the frequency domain using the Fourier transform, solving the transformed equation, and then applying the inverse Fourier transform to obtain the solution in the time domain.